## Lower and Upper Solutions for General Two-Point Fractional Order Boundary Value Problems

## Lower and Upper Solutions for General Two-Point Fractional Order Boundary Value Problems

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*K. R. Prasad, B. M. B. Krushna*

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## Abstract

This paper establishes the existence of a positive solution of fractional order two-point boundary value problem, ay(t)+ f(t, y(t)) = 0,t ∈ [a, b], y(a)=0,y ′ (a)=0, CDq2 y(b) − (Dq3 y(a)=0, Dq1+ a+ a+ where Daqi + ,i =1, 2, 3 are the standard Riemann-Liouville fractional order derivatives, 2

## Keywords

Fractional derivative, Boundary value problem, Two-point, Green’s function, Positive solution.